Find the LCM of 423, 815, 867, 326, 883 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 423, 815, 867, 326, 883. So, keep reading to learn more.
Given numbers are 423,815,867,326,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,815,867,326,883 is 175948884630.
Find LCM of 423,815,867,326,883 with Prime Factorization
3 | 423, 815, 867, 326, 883 |
163 | 141, 815, 289, 326, 883 |
141, 5, 289, 2, 883 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 141 x 5 x 289 x 2 x 883 = 175948884630
Therefore, the lowest common multiple of 423,815,867,326,883 is 175948884630.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
423 x 815 x 867 x 326 x 883 = 86039004584070
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
423 : 1, 3, 9, 47, 141, 423
815 : 1, 5, 163, 815
867 : 1, 3, 17, 51, 289, 867
326 : 1, 2, 163, 326
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,815,867,326,883, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
815:5x 163
867:3x 17x 17
326:2x 163
883:883
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 163 = 489
Therefore, the value for common factors is 489.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 86039004584070/(1x489)
LCM = 86039004584070/489
LCM = 175948884630
Thus, we can understand that the LCM of 423,815,867,326,883 is 175948884630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 423, 815, 867, 326, 883?
Answer: LCM of 423, 815, 867, 326, 883 is 175948884630.
2. How to calculate the LCM of 423, 815, 867, 326, 883?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 423, 815, 867, 326, 883.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.